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Finding the Fourth Proportional to 13,419.47, 18,509.23 and 8,313.33

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Solution

The fourth proportional to 13,419.47, 18,509.23 and 8,313.33 is: 11,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.47 : 18,509.23 = 8,313.33 : x
  2. Step 2: Convert to fraction form
    13,419.47/18,509.23 = 8,313.33/x
  3. Step 3: Cross multiply
    13,419.47x = 18,509.23 × 8,313.33
  4. Step 4: Simplify right side
    13,419.47x = 153,873,337.04
  5. Step 5: Solve for x
    x = 153,873,337.04/13,419.47
  6. Step 6: Final answer
    x = 11,466.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.